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baherus [9]
3 years ago
7

Which numbers in the set of numbers make the inequality 12x+4>9 true? ​ {0, 4, 9, 10, 11, 17} ​ Select each correct answer. 0

4 9 10 11 17
Mathematics
1 answer:
noname [10]3 years ago
4 0
12x + 4 > 9
12x > 9 - 4 
12x >  5
x > 0,41(6)

Answer
<span> 4, 9, 10, 11, 17</span>
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In The autumn 40% of the leaves on a tree are yellow and 24% of them are green the remaining 72 leaves are half yellow how many
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Let the total number of leaves on the tree be x.

Which means :

=  \tt36 \% \: of \: x = 72

=  \tt \frac{36}{100}  \times x = 72

=  \tt \frac{36 \times x}{100}  = 72

=  \tt \frac{36x}{100}  = 72

= \tt 36x = 72 \times 100

=  \tt36x = 7200

= \tt x =  \frac{7200}{36}

\color{plum} =  \tt \: x = 200

Thus, total number of leaves on the tree = 200

Number of yellow leaves on the tree :

=  \tt40 \% \: \:  of \: \:  200

=  \tt \frac{40}{100}  \times 200

= \tt   \frac{40 \times 200}{100}

= \tt  \frac{8000}{100}

\color{plum}  \tt = 80 \: yellow \:  \: leaves

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=  \tt24 \% \:  \: of \:  \: 200

= \tt  \frac{24}{100} \times 200

= \tt  \frac{24 \times 200}{100}

=  \tt \frac{4800}{100}

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Thus, the total number of green leaves on the tree = 48

Since the sum of all types of leaves form 200[80+48+72=200], we can conclude that we have found out the correct number of each type of leaf.

▪︎Therefore, <em>the total number of leaves on the tree = 200</em>

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